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1042132100 = 225257118251
BaseRepresentation
bin111110000111011…
…010110010000100
32200121221210111012
4332013122302010
54113241211400
6251224301352
734552656002
oct7607326204
92617853435
101042132100
114952902a9
12251011858
13137b9c319
149c597a72
1561754d35
hex3e1dac84

1042132100 has 36 divisors (see below), whose sum is σ = 2265511248. Its totient is φ = 416100000.

The previous prime is 1042132097. The next prime is 1042132103. The reversal of 1042132100 is 12312401.

1042132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1042132097) and next prime (1042132103).

It is not an unprimeable number, because it can be changed into a prime (1042132103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47975 + ... + 66225.

It is an arithmetic number, because the mean of its divisors is an integer number (62930868).

Almost surely, 21042132100 is an apocalyptic number.

1042132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042132100 is an abundant number, since it is smaller than the sum of its proper divisors (1223379148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1042132100 is a wasteful number, since it uses less digits than its factorization.

1042132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18836 (or 18829 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1042132100 is about 32282.0708753326. The cubic root of 1042132100 is about 1013.8512892904.

Adding to 1042132100 its reverse (12312401), we get a palindrome (1054444501).

The spelling of 1042132100 in words is "one billion, forty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 571 1142 2284 2855 5710 11420 14275 18251 28550 36502 57100 73004 91255 182510 365020 456275 912550 1825100 10421321 20842642 41685284 52106605 104213210 208426420 260533025 521066050 1042132100